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Scalewise invariant analysis of the anisotropic Reynolds stress tensor for atmospheric surface layer and canopy sublayer turbulent flows

Journal Article · · Physical Review Fluids
 [1];  [2];  [3];  [3];  [4];  [4];  [3]
  1. Karlsruhe Inst. of Technology (KIT) (Germany); DOE/OSTI
  2. Duke Univ., Durham, NC (United States); Karlsruhe Inst. of Technology (KIT) (Germany)
  3. Karlsruhe Inst. of Technology (KIT) (Germany)
  4. Weizmann Inst. of Science, Rehovot (Israel)
+ Show Author Affiliations
Anisotropy in the turbulent stress tensor, which forms the basis of invariant analysis, is conducted using velocity time series measurements collected in the canopy sublayer (CSL) and the atmospheric surface layer (ASL). The goal is to assess how thermal stratification and surface roughness conditions simultaneously distort the scalewise relaxation towards isotropic state from large to small scales when referenced to homogeneous turbulence. To achieve this goal, conventional invariant analysis is extended to allow scalewise information about relaxation to isotropy in physical (instead of Fourier) space to be incorporated. The proposed analysis shows that the CSL is more isotropic than its ASL counterpart at large, intermediate, and small (or inertial) scales irrespective of the thermal stratification. Moreover, the small (or inertial) scale anisotropy is more prevalent in the ASL when compared to the CSL, a finding that cannot be fully explained by the intensity of the mean velocity gradient acting on all scales. Implications to the validity of scalewise Rotta and Lumley models for return to isotropy as well as advantages to using barycentric instead of anisotropy invariant maps for such scalewise analysis are discussed.
Research Organization:
Duke Univ., Durham, NC (United States)
Sponsoring Organization:
German Research Foundation (DFG); Helmholtz Association; National Science Foundation (NSF); USDOE; USDOE Office of Science (SC), Biological and Environmental Research (BER)
Grant/Contract Number:
SC0011461
OSTI ID:
1541224
Alternate ID(s):
OSTI ID: 1438958
Journal Information:
Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 5 Vol. 3; ISSN 2469-990X
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Representation of the Reynolds stress tensor through quadrant analysis for a near-neutral atmospheric surface layer flow journal May 2019
On the role of return to isotropy in wall-bounded turbulent flows with buoyancy journal September 2018
Scaling, Anisotropy, and Complexity in Near-Surface Atmospheric Turbulence journal February 2019
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42 ENGINEERING
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